Novel fitted operator finite difference methods for singularly perturbed elliptic convection–diffusion problems in two dimensions

DOI10.1080/10236198.2010.513330zbMath1246.35027OpenAlexW1977579784MaRDI QIDQ2895648

Kailash C. Patidar, Justin B. Munyakazi

Publication date: 4 July 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2010.513330

zbMATH Keywords

convergence analysisexponential and parabolic boundary layer

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (9)

A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems via the method of lines ⋮ An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems ⋮ A fitted numerical method for singularly perturbed parabolic reaction-diffusion problems ⋮ A new stable finite difference scheme and its error analysis for two‐dimensional singularly perturbed convection–diffusion equations ⋮ A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms ⋮ A fitted operator finite difference method of lines for singularly perturbed parabolic convection-diffusion problems ⋮ A robust fitted numerical method for singularly perturbed turning point problems whose solution exhibits an interior layer ⋮ A uniformly convergent nonstandard finite difference scheme for a system of convection-diffusion equations ⋮ Nonstandard finite difference methods: recent trends and further developments

Cites Work

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